Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/21,698/29,560/516
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 58,698,560
Greatest Common Factor of Numerators i.e. GCF of 58,698,560 is 2 .
LCM of Denominators means LCM of 21,29,516 as per the given fractions.
LCM of 21,29,516 is 104748 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 58,698,560
2 | 58, 698, 560 |
29, 349, 280 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Greatest Common Factor
We found the factors 58,698,560 . The biggest common factor number is the GCF number.
So the greatest common factor 58,698,560 is 2.
Lets's calculate LCM of 21,29,516
3 | 21, 29, 516 |
7, 29, 172 |
∴ So the LCM of the given numbers is 3 x 7 x 29 x 172 = 104748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/104748
Therefore, the GCF of Fractions 58/21,698/29,560/516 is 2/104748
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 21,29,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,29,516) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(21,29,516) x common factors =1 x 3 = 3
LCM(21,29,516) = ( 21 × 29 × 516 ) / 3
LCM(21,29,516) = 314244 / 3
LCM(21,29,516) = 104748
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 58/21, 698/29, 560/516?
Answer: GCF of Numerators as per given numbers 58/21, 698/29, 560/516 is
GCF of Numerators i.e. for 58,698,560 is 2
LCM of denominators i.e. for 21,29,516 is 104748.
Thus, GCF of Fractions is 2/104748.Finally, GCF of Fractions for 58/21, 698/29, 560/516 is 2/104748.